great rhombicuboctahedron

English

A great rhombicuboctahedron

Etymology

From great + rhombicuboctahedron, referring to the fact that, similarly to the rhombicuboctahedron, the 12 square faces lie in the same planes as the 12 faces of the rhombic dodecahedron, the dual of the cuboctahedron.

Noun

great rhombicuboctahedron (plural great rhombicuboctahedra or great rhombicuboctahedrons)

1. (geometry) An Archimedean solid that is isogonal and has twenty-six regular faces (twelve square, eight hexagonal and six octagonal).
   • 1977, Wucius Wong, Principles of Three Dimensional Design‎^[1], page 70:

     Figure 244 — the structure for this complicated design is the great rhombicuboctahedron, which consists of octagonal, hexagonal, and square faces.

   • 2005, M. Cahay, Nanoscale Devices, Materials, and Biological Systems: Fundamentals and Applications : Proceedings of the International Symposium‎^[2], page 513:

     Zeolite A consists of truncated octahedra flanking the edges of a larger cube; they are connected along the edges by smaller cubes, and the truncated octahedra and cubes flank a great rhombicuboctahedron at the center (28).

   • 2012, Edward S. Popko, Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere‎^[3], page 169:

     The great rhombicuboctahedron can be made by truncating the cuboctahedron's vertices.

Synonyms

• (polyhedron with 12 square, 8 hexagonal and 6 octagonal faces): truncated cuboctahedron

Derived terms

• pseudo-great rhombicuboctahedron

Translations

polyhedron with 12 square, 8 hexagonal and 6 octagonal faces

• Italian: cubottaedro troncato m, grande rombicubottaedro m

Further reading

• Great Rhombicuboctahedron on Wolfram MathWorld